20.250 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.083 * * * [progress]: [2/2] Setting up program. 0.086 * [progress]: [Phase 2 of 3] Improving. 0.086 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.087 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.089 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.092 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.100 * * [simplify]: iteration 3 : 113 enodes (cost 16 ) 0.122 * * [simplify]: iteration 4 : 291 enodes (cost 16 ) 0.235 * * [simplify]: iteration 5 : 793 enodes (cost 16 ) 1.051 * * [simplify]: iteration 6 : 3009 enodes (cost 16 ) 2.105 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 2.105 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.105 * * [progress]: iteration 1 / 4 2.105 * * * [progress]: picking best candidate 2.107 * * * * [pick]: Picked # 2.107 * * * [progress]: localizing error 2.121 * * * [progress]: generating rewritten candidates 2.121 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.130 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.133 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.139 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.162 * * * [progress]: generating series expansions 2.162 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.163 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.163 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.163 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.163 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.163 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.163 * [taylor]: Taking taylor expansion of 0.5 in k 2.163 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.163 * [taylor]: Taking taylor expansion of 1.0 in k 2.163 * [taylor]: Taking taylor expansion of k in k 2.163 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.163 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.163 * [taylor]: Taking taylor expansion of 2.0 in k 2.163 * [taylor]: Taking taylor expansion of (* n PI) in k 2.163 * [taylor]: Taking taylor expansion of n in k 2.163 * [taylor]: Taking taylor expansion of PI in k 2.164 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.164 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.164 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.164 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.164 * [taylor]: Taking taylor expansion of 0.5 in n 2.164 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.164 * [taylor]: Taking taylor expansion of 1.0 in n 2.164 * [taylor]: Taking taylor expansion of k in n 2.164 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.164 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.164 * [taylor]: Taking taylor expansion of 2.0 in n 2.164 * [taylor]: Taking taylor expansion of (* n PI) in n 2.164 * [taylor]: Taking taylor expansion of n in n 2.164 * [taylor]: Taking taylor expansion of PI in n 2.169 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.169 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.169 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.169 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.169 * [taylor]: Taking taylor expansion of 0.5 in n 2.169 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.169 * [taylor]: Taking taylor expansion of 1.0 in n 2.170 * [taylor]: Taking taylor expansion of k in n 2.170 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.170 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.170 * [taylor]: Taking taylor expansion of 2.0 in n 2.170 * [taylor]: Taking taylor expansion of (* n PI) in n 2.170 * [taylor]: Taking taylor expansion of n in n 2.170 * [taylor]: Taking taylor expansion of PI in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.175 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.175 * [taylor]: Taking taylor expansion of 0.5 in k 2.175 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.175 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.175 * [taylor]: Taking taylor expansion of 1.0 in k 2.175 * [taylor]: Taking taylor expansion of k in k 2.175 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.175 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.175 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.175 * [taylor]: Taking taylor expansion of 2.0 in k 2.175 * [taylor]: Taking taylor expansion of PI in k 2.176 * [taylor]: Taking taylor expansion of (log n) in k 2.176 * [taylor]: Taking taylor expansion of n in k 2.189 * [taylor]: Taking taylor expansion of 0 in k 2.205 * [taylor]: Taking taylor expansion of 0 in k 2.223 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.223 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.223 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.223 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.223 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.223 * [taylor]: Taking taylor expansion of 0.5 in k 2.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.223 * [taylor]: Taking taylor expansion of 1.0 in k 2.223 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.223 * [taylor]: Taking taylor expansion of k in k 2.223 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.223 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.223 * [taylor]: Taking taylor expansion of 2.0 in k 2.224 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.224 * [taylor]: Taking taylor expansion of PI in k 2.224 * [taylor]: Taking taylor expansion of n in k 2.225 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.225 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.225 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.225 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.225 * [taylor]: Taking taylor expansion of 0.5 in n 2.225 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.225 * [taylor]: Taking taylor expansion of 1.0 in n 2.225 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.225 * [taylor]: Taking taylor expansion of k in n 2.225 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.225 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.225 * [taylor]: Taking taylor expansion of 2.0 in n 2.225 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.225 * [taylor]: Taking taylor expansion of PI in n 2.225 * [taylor]: Taking taylor expansion of n in n 2.228 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.228 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.228 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.229 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.229 * [taylor]: Taking taylor expansion of 0.5 in n 2.229 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.229 * [taylor]: Taking taylor expansion of 1.0 in n 2.229 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.229 * [taylor]: Taking taylor expansion of k in n 2.229 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.229 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.229 * [taylor]: Taking taylor expansion of 2.0 in n 2.229 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.229 * [taylor]: Taking taylor expansion of PI in n 2.229 * [taylor]: Taking taylor expansion of n in n 2.232 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.232 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.232 * [taylor]: Taking taylor expansion of 0.5 in k 2.232 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.232 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.232 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.232 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.232 * [taylor]: Taking taylor expansion of 2.0 in k 2.233 * [taylor]: Taking taylor expansion of PI in k 2.233 * [taylor]: Taking taylor expansion of (log n) in k 2.234 * [taylor]: Taking taylor expansion of n in k 2.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.234 * [taylor]: Taking taylor expansion of 1.0 in k 2.234 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.234 * [taylor]: Taking taylor expansion of k in k 2.243 * [taylor]: Taking taylor expansion of 0 in k 2.250 * [taylor]: Taking taylor expansion of 0 in k 2.259 * [taylor]: Taking taylor expansion of 0 in k 2.260 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.260 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.260 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.260 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.260 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.261 * [taylor]: Taking taylor expansion of 0.5 in k 2.261 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.261 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.261 * [taylor]: Taking taylor expansion of k in k 2.261 * [taylor]: Taking taylor expansion of 1.0 in k 2.261 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.261 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.261 * [taylor]: Taking taylor expansion of -2.0 in k 2.261 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.261 * [taylor]: Taking taylor expansion of PI in k 2.261 * [taylor]: Taking taylor expansion of n in k 2.262 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.262 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.262 * [taylor]: Taking taylor expansion of 0.5 in n 2.262 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.262 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.262 * [taylor]: Taking taylor expansion of k in n 2.262 * [taylor]: Taking taylor expansion of 1.0 in n 2.262 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.262 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.262 * [taylor]: Taking taylor expansion of -2.0 in n 2.262 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.262 * [taylor]: Taking taylor expansion of PI in n 2.262 * [taylor]: Taking taylor expansion of n in n 2.266 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.266 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.266 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.266 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.266 * [taylor]: Taking taylor expansion of 0.5 in n 2.266 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.266 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.266 * [taylor]: Taking taylor expansion of k in n 2.266 * [taylor]: Taking taylor expansion of 1.0 in n 2.266 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.266 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.266 * [taylor]: Taking taylor expansion of -2.0 in n 2.266 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.266 * [taylor]: Taking taylor expansion of PI in n 2.266 * [taylor]: Taking taylor expansion of n in n 2.275 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.275 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.275 * [taylor]: Taking taylor expansion of 0.5 in k 2.275 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.275 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.275 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.275 * [taylor]: Taking taylor expansion of k in k 2.276 * [taylor]: Taking taylor expansion of 1.0 in k 2.276 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.276 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.276 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.276 * [taylor]: Taking taylor expansion of -2.0 in k 2.276 * [taylor]: Taking taylor expansion of PI in k 2.277 * [taylor]: Taking taylor expansion of (log n) in k 2.277 * [taylor]: Taking taylor expansion of n in k 2.285 * [taylor]: Taking taylor expansion of 0 in k 2.292 * [taylor]: Taking taylor expansion of 0 in k 2.301 * [taylor]: Taking taylor expansion of 0 in k 2.302 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.302 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.302 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.302 * [taylor]: Taking taylor expansion of 1.0 in k 2.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.302 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.302 * [taylor]: Taking taylor expansion of k in k 2.303 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.303 * [taylor]: Taking taylor expansion of 1.0 in k 2.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.303 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.303 * [taylor]: Taking taylor expansion of k in k 2.314 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.314 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.314 * [taylor]: Taking taylor expansion of 1.0 in k 2.314 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.314 * [taylor]: Taking taylor expansion of k in k 2.315 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.315 * [taylor]: Taking taylor expansion of 1.0 in k 2.315 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.315 * [taylor]: Taking taylor expansion of k in k 2.325 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.325 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.325 * [taylor]: Taking taylor expansion of 1.0 in k 2.325 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.325 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.325 * [taylor]: Taking taylor expansion of -1 in k 2.325 * [taylor]: Taking taylor expansion of k in k 2.327 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.327 * [taylor]: Taking taylor expansion of 1.0 in k 2.327 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.327 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.327 * [taylor]: Taking taylor expansion of -1 in k 2.327 * [taylor]: Taking taylor expansion of k in k 2.338 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.339 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.339 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.339 * [taylor]: Taking taylor expansion of 2.0 in n 2.339 * [taylor]: Taking taylor expansion of (* n PI) in n 2.339 * [taylor]: Taking taylor expansion of n in n 2.339 * [taylor]: Taking taylor expansion of PI in n 2.339 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.339 * [taylor]: Taking taylor expansion of 2.0 in n 2.339 * [taylor]: Taking taylor expansion of (* n PI) in n 2.339 * [taylor]: Taking taylor expansion of n in n 2.339 * [taylor]: Taking taylor expansion of PI in n 2.356 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.356 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.357 * [taylor]: Taking taylor expansion of 2.0 in n 2.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.357 * [taylor]: Taking taylor expansion of PI in n 2.357 * [taylor]: Taking taylor expansion of n in n 2.357 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.357 * [taylor]: Taking taylor expansion of 2.0 in n 2.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.357 * [taylor]: Taking taylor expansion of PI in n 2.357 * [taylor]: Taking taylor expansion of n in n 2.366 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.366 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.366 * [taylor]: Taking taylor expansion of -2.0 in n 2.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.366 * [taylor]: Taking taylor expansion of PI in n 2.366 * [taylor]: Taking taylor expansion of n in n 2.366 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.366 * [taylor]: Taking taylor expansion of -2.0 in n 2.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.366 * [taylor]: Taking taylor expansion of PI in n 2.366 * [taylor]: Taking taylor expansion of n in n 2.374 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.375 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.375 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.375 * [taylor]: Taking taylor expansion of 1.0 in n 2.375 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.375 * [taylor]: Taking taylor expansion of k in n 2.375 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.375 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.375 * [taylor]: Taking taylor expansion of 0.5 in n 2.375 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.375 * [taylor]: Taking taylor expansion of 1.0 in n 2.375 * [taylor]: Taking taylor expansion of k in n 2.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.375 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.375 * [taylor]: Taking taylor expansion of 2.0 in n 2.375 * [taylor]: Taking taylor expansion of (* n PI) in n 2.375 * [taylor]: Taking taylor expansion of n in n 2.376 * [taylor]: Taking taylor expansion of PI in n 2.381 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.381 * [taylor]: Taking taylor expansion of 1.0 in k 2.381 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.381 * [taylor]: Taking taylor expansion of k in k 2.382 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.382 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.382 * [taylor]: Taking taylor expansion of 0.5 in k 2.382 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.382 * [taylor]: Taking taylor expansion of 1.0 in k 2.382 * [taylor]: Taking taylor expansion of k in k 2.382 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.382 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.382 * [taylor]: Taking taylor expansion of 2.0 in k 2.382 * [taylor]: Taking taylor expansion of (* n PI) in k 2.382 * [taylor]: Taking taylor expansion of n in k 2.382 * [taylor]: Taking taylor expansion of PI in k 2.383 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.383 * [taylor]: Taking taylor expansion of 1.0 in k 2.383 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.383 * [taylor]: Taking taylor expansion of k in k 2.385 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.385 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.385 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.385 * [taylor]: Taking taylor expansion of 0.5 in k 2.385 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.385 * [taylor]: Taking taylor expansion of 1.0 in k 2.385 * [taylor]: Taking taylor expansion of k in k 2.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.385 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.385 * [taylor]: Taking taylor expansion of 2.0 in k 2.385 * [taylor]: Taking taylor expansion of (* n PI) in k 2.385 * [taylor]: Taking taylor expansion of n in k 2.385 * [taylor]: Taking taylor expansion of PI in k 2.386 * [taylor]: Taking taylor expansion of 0 in n 2.391 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.391 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.391 * [taylor]: Taking taylor expansion of +nan.0 in n 2.391 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.392 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.392 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.392 * [taylor]: Taking taylor expansion of 0.5 in n 2.392 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.392 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.392 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.392 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.392 * [taylor]: Taking taylor expansion of 1.0 in n 2.392 * [taylor]: Taking taylor expansion of (log PI) in n 2.392 * [taylor]: Taking taylor expansion of PI in n 2.393 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.393 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.394 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.394 * [taylor]: Taking taylor expansion of 1.0 in n 2.394 * [taylor]: Taking taylor expansion of (log n) in n 2.394 * [taylor]: Taking taylor expansion of n in n 2.394 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.394 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.394 * [taylor]: Taking taylor expansion of 1.0 in n 2.394 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.394 * [taylor]: Taking taylor expansion of 2.0 in n 2.413 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 2.413 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 2.413 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.413 * [taylor]: Taking taylor expansion of +nan.0 in n 2.413 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.413 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.413 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.413 * [taylor]: Taking taylor expansion of 0.5 in n 2.413 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.413 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.413 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.413 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.413 * [taylor]: Taking taylor expansion of 1.0 in n 2.413 * [taylor]: Taking taylor expansion of (log PI) in n 2.413 * [taylor]: Taking taylor expansion of PI in n 2.415 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.415 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.415 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.415 * [taylor]: Taking taylor expansion of 1.0 in n 2.415 * [taylor]: Taking taylor expansion of (log n) in n 2.415 * [taylor]: Taking taylor expansion of n in n 2.416 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.416 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.416 * [taylor]: Taking taylor expansion of 1.0 in n 2.416 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.416 * [taylor]: Taking taylor expansion of 2.0 in n 2.421 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 2.421 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.421 * [taylor]: Taking taylor expansion of +nan.0 in n 2.421 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.421 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.421 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.421 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.421 * [taylor]: Taking taylor expansion of 0.5 in n 2.421 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.421 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.421 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.421 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.421 * [taylor]: Taking taylor expansion of 1.0 in n 2.421 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.421 * [taylor]: Taking taylor expansion of 2.0 in n 2.423 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.423 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.423 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.423 * [taylor]: Taking taylor expansion of 1.0 in n 2.423 * [taylor]: Taking taylor expansion of (log PI) in n 2.423 * [taylor]: Taking taylor expansion of PI in n 2.425 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.425 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.425 * [taylor]: Taking taylor expansion of 1.0 in n 2.425 * [taylor]: Taking taylor expansion of (log n) in n 2.425 * [taylor]: Taking taylor expansion of n in n 2.429 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.429 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.429 * [taylor]: Taking taylor expansion of 2.0 in n 2.429 * [taylor]: Taking taylor expansion of (* n PI) in n 2.429 * [taylor]: Taking taylor expansion of n in n 2.429 * [taylor]: Taking taylor expansion of PI in n 2.483 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.483 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.483 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.483 * [taylor]: Taking taylor expansion of +nan.0 in n 2.483 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.483 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.483 * [taylor]: Taking taylor expansion of 0.5 in n 2.483 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.483 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.483 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.483 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.483 * [taylor]: Taking taylor expansion of 1.0 in n 2.483 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.483 * [taylor]: Taking taylor expansion of 2.0 in n 2.485 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.485 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.485 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.485 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.485 * [taylor]: Taking taylor expansion of 1.0 in n 2.485 * [taylor]: Taking taylor expansion of (log n) in n 2.485 * [taylor]: Taking taylor expansion of n in n 2.486 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.486 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.486 * [taylor]: Taking taylor expansion of 1.0 in n 2.486 * [taylor]: Taking taylor expansion of (log PI) in n 2.486 * [taylor]: Taking taylor expansion of PI in n 2.491 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.491 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.491 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.491 * [taylor]: Taking taylor expansion of +nan.0 in n 2.491 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.491 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.491 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.491 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.491 * [taylor]: Taking taylor expansion of 0.5 in n 2.491 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.491 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.491 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.491 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.491 * [taylor]: Taking taylor expansion of 1.0 in n 2.491 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.491 * [taylor]: Taking taylor expansion of 2.0 in n 2.493 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.493 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.493 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.493 * [taylor]: Taking taylor expansion of 1.0 in n 2.493 * [taylor]: Taking taylor expansion of (log PI) in n 2.493 * [taylor]: Taking taylor expansion of PI in n 2.495 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.496 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.496 * [taylor]: Taking taylor expansion of 1.0 in n 2.496 * [taylor]: Taking taylor expansion of (log n) in n 2.496 * [taylor]: Taking taylor expansion of n in n 2.500 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.500 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.500 * [taylor]: Taking taylor expansion of 2.0 in n 2.500 * [taylor]: Taking taylor expansion of (* n PI) in n 2.500 * [taylor]: Taking taylor expansion of n in n 2.500 * [taylor]: Taking taylor expansion of PI in n 2.503 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.503 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.503 * [taylor]: Taking taylor expansion of +nan.0 in n 2.503 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.503 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.503 * [taylor]: Taking taylor expansion of 0.5 in n 2.503 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.503 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.503 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.503 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.503 * [taylor]: Taking taylor expansion of 1.0 in n 2.503 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.503 * [taylor]: Taking taylor expansion of 2.0 in n 2.505 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.505 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.505 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.505 * [taylor]: Taking taylor expansion of 1.0 in n 2.505 * [taylor]: Taking taylor expansion of (log PI) in n 2.505 * [taylor]: Taking taylor expansion of PI in n 2.507 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.507 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.507 * [taylor]: Taking taylor expansion of 1.0 in n 2.507 * [taylor]: Taking taylor expansion of (log n) in n 2.507 * [taylor]: Taking taylor expansion of n in n 2.511 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.511 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.511 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.511 * [taylor]: Taking taylor expansion of 2.0 in n 2.511 * [taylor]: Taking taylor expansion of (* n PI) in n 2.511 * [taylor]: Taking taylor expansion of n in n 2.511 * [taylor]: Taking taylor expansion of PI in n 2.589 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.589 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.589 * [taylor]: Taking taylor expansion of 1.0 in n 2.589 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.589 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.589 * [taylor]: Taking taylor expansion of k in n 2.589 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.589 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.589 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.589 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.589 * [taylor]: Taking taylor expansion of 0.5 in n 2.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.589 * [taylor]: Taking taylor expansion of 1.0 in n 2.589 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.589 * [taylor]: Taking taylor expansion of k in n 2.589 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.589 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.589 * [taylor]: Taking taylor expansion of 2.0 in n 2.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.589 * [taylor]: Taking taylor expansion of PI in n 2.589 * [taylor]: Taking taylor expansion of n in n 2.593 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.593 * [taylor]: Taking taylor expansion of 1.0 in k 2.593 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.593 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.593 * [taylor]: Taking taylor expansion of k in k 2.594 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.594 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.594 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.594 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.594 * [taylor]: Taking taylor expansion of 0.5 in k 2.594 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.594 * [taylor]: Taking taylor expansion of 1.0 in k 2.594 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.595 * [taylor]: Taking taylor expansion of k in k 2.595 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.595 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.595 * [taylor]: Taking taylor expansion of 2.0 in k 2.595 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.595 * [taylor]: Taking taylor expansion of PI in k 2.595 * [taylor]: Taking taylor expansion of n in k 2.596 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.596 * [taylor]: Taking taylor expansion of 1.0 in k 2.596 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.596 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.596 * [taylor]: Taking taylor expansion of k in k 2.597 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.597 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.597 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.597 * [taylor]: Taking taylor expansion of 0.5 in k 2.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.597 * [taylor]: Taking taylor expansion of 1.0 in k 2.597 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.597 * [taylor]: Taking taylor expansion of k in k 2.597 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.597 * [taylor]: Taking taylor expansion of 2.0 in k 2.597 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.597 * [taylor]: Taking taylor expansion of PI in k 2.597 * [taylor]: Taking taylor expansion of n in k 2.599 * [taylor]: Taking taylor expansion of 0 in n 2.600 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.600 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.600 * [taylor]: Taking taylor expansion of +nan.0 in n 2.600 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.600 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.600 * [taylor]: Taking taylor expansion of 0.5 in n 2.600 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.600 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.600 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.600 * [taylor]: Taking taylor expansion of 2.0 in n 2.600 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.600 * [taylor]: Taking taylor expansion of PI in n 2.600 * [taylor]: Taking taylor expansion of n in n 2.601 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.601 * [taylor]: Taking taylor expansion of 1.0 in n 2.601 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.601 * [taylor]: Taking taylor expansion of k in n 2.609 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.609 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.609 * [taylor]: Taking taylor expansion of +nan.0 in n 2.609 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.609 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.609 * [taylor]: Taking taylor expansion of 0.5 in n 2.609 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.609 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.609 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.609 * [taylor]: Taking taylor expansion of 2.0 in n 2.609 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.609 * [taylor]: Taking taylor expansion of PI in n 2.609 * [taylor]: Taking taylor expansion of n in n 2.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.611 * [taylor]: Taking taylor expansion of 1.0 in n 2.611 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.611 * [taylor]: Taking taylor expansion of k in n 2.632 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.632 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.632 * [taylor]: Taking taylor expansion of +nan.0 in n 2.632 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.632 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.632 * [taylor]: Taking taylor expansion of 0.5 in n 2.632 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.632 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.632 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.632 * [taylor]: Taking taylor expansion of 2.0 in n 2.632 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.632 * [taylor]: Taking taylor expansion of PI in n 2.632 * [taylor]: Taking taylor expansion of n in n 2.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.633 * [taylor]: Taking taylor expansion of 1.0 in n 2.633 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.633 * [taylor]: Taking taylor expansion of k in n 2.642 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 2.642 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.642 * [taylor]: Taking taylor expansion of 1.0 in n 2.642 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.642 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.642 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.642 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.642 * [taylor]: Taking taylor expansion of 0.5 in n 2.642 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.642 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.642 * [taylor]: Taking taylor expansion of k in n 2.642 * [taylor]: Taking taylor expansion of 1.0 in n 2.642 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.642 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.642 * [taylor]: Taking taylor expansion of -2.0 in n 2.642 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.642 * [taylor]: Taking taylor expansion of PI in n 2.642 * [taylor]: Taking taylor expansion of n in n 2.646 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.646 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.646 * [taylor]: Taking taylor expansion of -1 in n 2.646 * [taylor]: Taking taylor expansion of k in n 2.647 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.647 * [taylor]: Taking taylor expansion of 1.0 in k 2.647 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.647 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.647 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.647 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.647 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.647 * [taylor]: Taking taylor expansion of 0.5 in k 2.647 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.647 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.647 * [taylor]: Taking taylor expansion of k in k 2.647 * [taylor]: Taking taylor expansion of 1.0 in k 2.647 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.647 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.647 * [taylor]: Taking taylor expansion of -2.0 in k 2.647 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.647 * [taylor]: Taking taylor expansion of PI in k 2.647 * [taylor]: Taking taylor expansion of n in k 2.648 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.648 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.648 * [taylor]: Taking taylor expansion of -1 in k 2.648 * [taylor]: Taking taylor expansion of k in k 2.649 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.649 * [taylor]: Taking taylor expansion of 1.0 in k 2.649 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.649 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.649 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.649 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.649 * [taylor]: Taking taylor expansion of 0.5 in k 2.649 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.649 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.649 * [taylor]: Taking taylor expansion of k in k 2.650 * [taylor]: Taking taylor expansion of 1.0 in k 2.650 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.650 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.650 * [taylor]: Taking taylor expansion of -2.0 in k 2.650 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.650 * [taylor]: Taking taylor expansion of PI in k 2.650 * [taylor]: Taking taylor expansion of n in k 2.651 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.651 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.651 * [taylor]: Taking taylor expansion of -1 in k 2.651 * [taylor]: Taking taylor expansion of k in k 2.652 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.652 * [taylor]: Taking taylor expansion of +nan.0 in n 2.652 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.652 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.652 * [taylor]: Taking taylor expansion of 0.5 in n 2.652 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.652 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.652 * [taylor]: Taking taylor expansion of k in n 2.652 * [taylor]: Taking taylor expansion of 1.0 in n 2.652 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.652 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.652 * [taylor]: Taking taylor expansion of -2.0 in n 2.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.652 * [taylor]: Taking taylor expansion of PI in n 2.652 * [taylor]: Taking taylor expansion of n in n 2.661 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.661 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.661 * [taylor]: Taking taylor expansion of +nan.0 in n 2.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.661 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.661 * [taylor]: Taking taylor expansion of 0.5 in n 2.661 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.661 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.661 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.661 * [taylor]: Taking taylor expansion of k in n 2.661 * [taylor]: Taking taylor expansion of 1.0 in n 2.661 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.661 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.661 * [taylor]: Taking taylor expansion of -2.0 in n 2.661 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.661 * [taylor]: Taking taylor expansion of PI in n 2.661 * [taylor]: Taking taylor expansion of n in n 2.679 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.679 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.679 * [taylor]: Taking taylor expansion of +nan.0 in n 2.679 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.679 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.679 * [taylor]: Taking taylor expansion of 0.5 in n 2.679 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.679 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.679 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.679 * [taylor]: Taking taylor expansion of k in n 2.679 * [taylor]: Taking taylor expansion of 1.0 in n 2.679 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.679 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.679 * [taylor]: Taking taylor expansion of -2.0 in n 2.679 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.679 * [taylor]: Taking taylor expansion of PI in n 2.679 * [taylor]: Taking taylor expansion of n in n 2.689 * * * [progress]: simplifying candidates 2.691 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 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PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))))) (* 0.5 (* k (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k)))))))) (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) k))) (/ (* (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) +nan.0) (pow k 3))) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) 3.767 * * * [progress]: adding candidates to table 4.145 * * [progress]: iteration 2 / 4 4.145 * * * [progress]: picking best candidate 4.168 * * * * [pick]: Picked # 4.168 * * * [progress]: localizing error 4.183 * * * [progress]: generating rewritten candidates 4.183 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 4.188 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.193 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.199 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.214 * * * [progress]: generating series expansions 4.214 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 4.214 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 4.214 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.214 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.214 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.214 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.214 * [taylor]: Taking taylor expansion of 0.5 in k 4.214 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.214 * [taylor]: Taking taylor expansion of 1.0 in k 4.214 * [taylor]: Taking taylor expansion of k in k 4.214 * [taylor]: Taking taylor expansion of (log n) in k 4.214 * [taylor]: Taking taylor expansion of n in k 4.216 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.216 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.216 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.216 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.216 * [taylor]: Taking taylor expansion of 0.5 in n 4.216 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.216 * [taylor]: Taking taylor expansion of 1.0 in n 4.216 * [taylor]: Taking taylor expansion of k in n 4.216 * [taylor]: Taking taylor expansion of (log n) in n 4.216 * [taylor]: Taking taylor expansion of n in n 4.216 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.217 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.217 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.217 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.217 * [taylor]: Taking taylor expansion of 0.5 in n 4.217 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.217 * [taylor]: Taking taylor expansion of 1.0 in n 4.217 * [taylor]: Taking taylor expansion of k in n 4.217 * [taylor]: Taking taylor expansion of (log n) in n 4.217 * [taylor]: Taking taylor expansion of n in n 4.217 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 4.217 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 4.217 * [taylor]: Taking taylor expansion of 0.5 in k 4.217 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 4.218 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.218 * [taylor]: Taking taylor expansion of 1.0 in k 4.218 * [taylor]: Taking taylor expansion of k in k 4.218 * [taylor]: Taking taylor expansion of (log n) in k 4.218 * [taylor]: Taking taylor expansion of n in k 4.221 * [taylor]: Taking taylor expansion of 0 in k 4.226 * [taylor]: Taking taylor expansion of 0 in k 4.229 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.229 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.229 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.230 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.230 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.230 * [taylor]: Taking taylor expansion of 0.5 in k 4.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.230 * [taylor]: Taking taylor expansion of 1.0 in k 4.230 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.230 * [taylor]: Taking taylor expansion of k in k 4.230 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.230 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.230 * [taylor]: Taking taylor expansion of n in k 4.231 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.231 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.231 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.231 * [taylor]: Taking taylor expansion of 0.5 in n 4.231 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.231 * [taylor]: Taking taylor expansion of 1.0 in n 4.231 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.231 * [taylor]: Taking taylor expansion of k in n 4.231 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.231 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.231 * [taylor]: Taking taylor expansion of n in n 4.232 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.232 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.232 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.232 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.232 * [taylor]: Taking taylor expansion of 0.5 in n 4.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.232 * [taylor]: Taking taylor expansion of 1.0 in n 4.232 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.232 * [taylor]: Taking taylor expansion of k in n 4.232 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.232 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.232 * [taylor]: Taking taylor expansion of n in n 4.234 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 4.234 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 4.234 * [taylor]: Taking taylor expansion of -0.5 in k 4.234 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 4.234 * [taylor]: Taking taylor expansion of (log n) in k 4.234 * [taylor]: Taking taylor expansion of n in k 4.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.234 * [taylor]: Taking taylor expansion of 1.0 in k 4.234 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.234 * [taylor]: Taking taylor expansion of k in k 4.237 * [taylor]: Taking taylor expansion of 0 in k 4.241 * [taylor]: Taking taylor expansion of 0 in k 4.247 * [taylor]: Taking taylor expansion of 0 in k 4.248 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.248 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.248 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.248 * [taylor]: Taking taylor expansion of 0.5 in k 4.248 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.248 * [taylor]: Taking taylor expansion of k in k 4.248 * [taylor]: Taking taylor expansion of 1.0 in k 4.248 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.248 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.248 * [taylor]: Taking taylor expansion of -1 in k 4.248 * [taylor]: Taking taylor expansion of n in k 4.249 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.249 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.249 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.249 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.249 * [taylor]: Taking taylor expansion of 0.5 in n 4.249 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.249 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.249 * [taylor]: Taking taylor expansion of k in n 4.249 * [taylor]: Taking taylor expansion of 1.0 in n 4.249 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.249 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.249 * [taylor]: Taking taylor expansion of -1 in n 4.249 * [taylor]: Taking taylor expansion of n in n 4.251 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.251 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.251 * [taylor]: Taking taylor expansion of 0.5 in n 4.251 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.251 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.251 * [taylor]: Taking taylor expansion of k in n 4.251 * [taylor]: Taking taylor expansion of 1.0 in n 4.251 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.251 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.251 * [taylor]: Taking taylor expansion of -1 in n 4.251 * [taylor]: Taking taylor expansion of n in n 4.253 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 4.253 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 4.253 * [taylor]: Taking taylor expansion of 0.5 in k 4.253 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 4.253 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 4.253 * [taylor]: Taking taylor expansion of (log -1) in k 4.253 * [taylor]: Taking taylor expansion of -1 in k 4.253 * [taylor]: Taking taylor expansion of (log n) in k 4.254 * [taylor]: Taking taylor expansion of n in k 4.254 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.254 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.254 * [taylor]: Taking taylor expansion of k in k 4.254 * [taylor]: Taking taylor expansion of 1.0 in k 4.259 * [taylor]: Taking taylor expansion of 0 in k 4.264 * [taylor]: Taking taylor expansion of 0 in k 4.271 * [taylor]: Taking taylor expansion of 0 in k 4.271 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.272 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 4.272 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.272 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.272 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.272 * [taylor]: Taking taylor expansion of 0.5 in k 4.272 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.272 * [taylor]: Taking taylor expansion of 1.0 in k 4.272 * [taylor]: Taking taylor expansion of k in k 4.272 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.272 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.272 * [taylor]: Taking taylor expansion of 2.0 in k 4.272 * [taylor]: Taking taylor expansion of PI in k 4.276 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.276 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.276 * [taylor]: Taking taylor expansion of 0.5 in k 4.276 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.276 * [taylor]: Taking taylor expansion of 1.0 in k 4.276 * [taylor]: Taking taylor expansion of k in k 4.276 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.276 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.276 * [taylor]: Taking taylor expansion of 2.0 in k 4.276 * [taylor]: Taking taylor expansion of PI in k 4.328 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 4.328 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.328 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.328 * [taylor]: Taking taylor expansion of 0.5 in k 4.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.328 * [taylor]: Taking taylor expansion of 1.0 in k 4.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.328 * [taylor]: Taking taylor expansion of k in k 4.328 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.328 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.328 * [taylor]: Taking taylor expansion of 2.0 in k 4.328 * [taylor]: Taking taylor expansion of PI in k 4.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.332 * [taylor]: Taking taylor expansion of 0.5 in k 4.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.332 * [taylor]: Taking taylor expansion of 1.0 in k 4.332 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.332 * [taylor]: Taking taylor expansion of k in k 4.332 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.332 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.332 * [taylor]: Taking taylor expansion of 2.0 in k 4.332 * [taylor]: Taking taylor expansion of PI in k 4.337 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 4.337 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.337 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.337 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.337 * [taylor]: Taking taylor expansion of 0.5 in k 4.337 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.337 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.337 * [taylor]: Taking taylor expansion of k in k 4.338 * [taylor]: Taking taylor expansion of 1.0 in k 4.338 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.338 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.338 * [taylor]: Taking taylor expansion of 2.0 in k 4.338 * [taylor]: Taking taylor expansion of PI in k 4.341 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.341 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.341 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.341 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.341 * [taylor]: Taking taylor expansion of 0.5 in k 4.341 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.341 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.341 * [taylor]: Taking taylor expansion of k in k 4.341 * [taylor]: Taking taylor expansion of 1.0 in k 4.341 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.341 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.341 * [taylor]: Taking taylor expansion of 2.0 in k 4.341 * [taylor]: Taking taylor expansion of PI in k 4.346 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.346 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.346 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.346 * [taylor]: Taking taylor expansion of 1.0 in k 4.346 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.346 * [taylor]: Taking taylor expansion of k in k 4.347 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.347 * [taylor]: Taking taylor expansion of 1.0 in k 4.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.347 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.347 * [taylor]: Taking taylor expansion of k in k 4.358 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.358 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.358 * [taylor]: Taking taylor expansion of 1.0 in k 4.358 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.358 * [taylor]: Taking taylor expansion of k in k 4.359 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.359 * [taylor]: Taking taylor expansion of 1.0 in k 4.359 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.359 * [taylor]: Taking taylor expansion of k in k 4.376 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.376 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.376 * [taylor]: Taking taylor expansion of 1.0 in k 4.376 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.376 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.376 * [taylor]: Taking taylor expansion of -1 in k 4.376 * [taylor]: Taking taylor expansion of k in k 4.377 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.377 * [taylor]: Taking taylor expansion of 1.0 in k 4.377 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.377 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.377 * [taylor]: Taking taylor expansion of -1 in k 4.377 * [taylor]: Taking taylor expansion of k in k 4.389 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.390 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 4.390 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.390 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 4.390 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 4.390 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 4.390 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.390 * [taylor]: Taking taylor expansion of 0.5 in n 4.390 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.390 * [taylor]: Taking taylor expansion of 1.0 in n 4.390 * [taylor]: Taking taylor expansion of k in n 4.390 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.390 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.390 * [taylor]: Taking taylor expansion of 2.0 in n 4.390 * [taylor]: Taking taylor expansion of PI in n 4.392 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.392 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.392 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.392 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.392 * [taylor]: Taking taylor expansion of 0.5 in n 4.392 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.392 * [taylor]: Taking taylor expansion of 1.0 in n 4.392 * [taylor]: Taking taylor expansion of k in n 4.392 * [taylor]: Taking taylor expansion of (log n) in n 4.392 * [taylor]: Taking taylor expansion of n in n 4.393 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.393 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.393 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.393 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.393 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.393 * [taylor]: Taking taylor expansion of 0.5 in k 4.393 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.393 * [taylor]: Taking taylor expansion of 1.0 in k 4.393 * [taylor]: Taking taylor expansion of k in k 4.393 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.393 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.393 * [taylor]: Taking taylor expansion of 2.0 in k 4.393 * [taylor]: Taking taylor expansion of PI in k 4.397 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.397 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.397 * [taylor]: Taking taylor expansion of 0.5 in k 4.397 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.397 * [taylor]: Taking taylor expansion of 1.0 in k 4.397 * [taylor]: Taking taylor expansion of k in k 4.397 * [taylor]: Taking taylor expansion of (log n) in k 4.397 * [taylor]: Taking taylor expansion of n in k 4.398 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.398 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.398 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.398 * [taylor]: Taking taylor expansion of 0.5 in k 4.398 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.398 * [taylor]: Taking taylor expansion of 1.0 in k 4.398 * [taylor]: Taking taylor expansion of k in k 4.398 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.398 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.398 * [taylor]: Taking taylor expansion of 2.0 in k 4.398 * [taylor]: Taking taylor expansion of PI in k 4.402 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.403 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.403 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.403 * [taylor]: Taking taylor expansion of 0.5 in k 4.403 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.403 * [taylor]: Taking taylor expansion of 1.0 in k 4.403 * [taylor]: Taking taylor expansion of k in k 4.403 * [taylor]: Taking taylor expansion of (log n) in k 4.403 * [taylor]: Taking taylor expansion of n in k 4.404 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.404 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.404 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.404 * [taylor]: Taking taylor expansion of 0.5 in n 4.404 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.404 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.404 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.405 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.405 * [taylor]: Taking taylor expansion of 1.0 in n 4.405 * [taylor]: Taking taylor expansion of (log PI) in n 4.405 * [taylor]: Taking taylor expansion of PI in n 4.406 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.406 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.406 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.406 * [taylor]: Taking taylor expansion of 1.0 in n 4.406 * [taylor]: Taking taylor expansion of (log n) in n 4.406 * [taylor]: Taking taylor expansion of n in n 4.407 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.407 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.407 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.407 * [taylor]: Taking taylor expansion of 1.0 in n 4.407 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.407 * [taylor]: Taking taylor expansion of 2.0 in n 4.432 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 4.432 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 4.432 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.432 * [taylor]: Taking taylor expansion of 0.5 in n 4.432 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.432 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.432 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.432 * [taylor]: Taking taylor expansion of 2.0 in n 4.432 * [taylor]: Taking taylor expansion of PI in n 4.433 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.433 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.433 * [taylor]: Taking taylor expansion of 0.5 in n 4.433 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.433 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.433 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.433 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.433 * [taylor]: Taking taylor expansion of 1.0 in n 4.433 * [taylor]: Taking taylor expansion of (log PI) in n 4.433 * [taylor]: Taking taylor expansion of PI in n 4.435 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.435 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.435 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.435 * [taylor]: Taking taylor expansion of 1.0 in n 4.435 * [taylor]: Taking taylor expansion of (log n) in n 4.435 * [taylor]: Taking taylor expansion of n in n 4.436 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.436 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.436 * [taylor]: Taking taylor expansion of 1.0 in n 4.436 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.436 * [taylor]: Taking taylor expansion of 2.0 in n 4.441 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.441 * [taylor]: Taking taylor expansion of 0.5 in n 4.441 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.441 * [taylor]: Taking taylor expansion of (log n) in n 4.441 * [taylor]: Taking taylor expansion of n in n 4.441 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.441 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.442 * [taylor]: Taking taylor expansion of 0.5 in n 4.442 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.442 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.442 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.442 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.442 * [taylor]: Taking taylor expansion of 1.0 in n 4.442 * [taylor]: Taking taylor expansion of (log PI) in n 4.442 * [taylor]: Taking taylor expansion of PI in n 4.443 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.443 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.444 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.444 * [taylor]: Taking taylor expansion of 1.0 in n 4.444 * [taylor]: Taking taylor expansion of (log n) in n 4.444 * [taylor]: Taking taylor expansion of n in n 4.444 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.444 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.444 * [taylor]: Taking taylor expansion of 1.0 in n 4.444 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.444 * [taylor]: Taking taylor expansion of 2.0 in n 4.501 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 4.501 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.501 * [taylor]: Taking taylor expansion of 0.125 in n 4.501 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.501 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.501 * [taylor]: Taking taylor expansion of (log n) in n 4.502 * [taylor]: Taking taylor expansion of n in n 4.502 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.502 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.502 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.502 * [taylor]: Taking taylor expansion of 0.5 in n 4.502 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.502 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.502 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.502 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.502 * [taylor]: Taking taylor expansion of 1.0 in n 4.502 * [taylor]: Taking taylor expansion of (log PI) in n 4.502 * [taylor]: Taking taylor expansion of PI in n 4.504 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.504 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.504 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.504 * [taylor]: Taking taylor expansion of 1.0 in n 4.504 * [taylor]: Taking taylor expansion of (log n) in n 4.504 * [taylor]: Taking taylor expansion of n in n 4.505 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.505 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.505 * [taylor]: Taking taylor expansion of 1.0 in n 4.505 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.505 * [taylor]: Taking taylor expansion of 2.0 in n 4.510 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 4.510 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 4.510 * [taylor]: Taking taylor expansion of 0.25 in n 4.510 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 4.510 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 4.510 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.510 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.510 * [taylor]: Taking taylor expansion of 2.0 in n 4.510 * [taylor]: Taking taylor expansion of PI in n 4.511 * [taylor]: Taking taylor expansion of (log n) in n 4.511 * [taylor]: Taking taylor expansion of n in n 4.511 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 4.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 4.511 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 4.511 * [taylor]: Taking taylor expansion of 0.5 in n 4.511 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 4.511 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 4.511 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.511 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.511 * [taylor]: Taking taylor expansion of 1.0 in n 4.512 * [taylor]: Taking taylor expansion of (log PI) in n 4.512 * [taylor]: Taking taylor expansion of PI in n 4.513 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 4.513 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.513 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.513 * [taylor]: Taking taylor expansion of 1.0 in n 4.513 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.513 * [taylor]: Taking taylor expansion of 2.0 in n 4.515 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.515 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.515 * [taylor]: Taking taylor expansion of 1.0 in n 4.515 * [taylor]: Taking taylor expansion of (log n) in n 4.515 * [taylor]: Taking taylor expansion of n in n 4.519 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.519 * [taylor]: Taking taylor expansion of 0.125 in n 4.519 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.519 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 4.519 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.519 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.519 * [taylor]: Taking taylor expansion of 2.0 in n 4.519 * [taylor]: Taking taylor expansion of PI in n 4.520 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.520 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.520 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.520 * [taylor]: Taking taylor expansion of 0.5 in n 4.520 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.520 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.520 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.521 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.521 * [taylor]: Taking taylor expansion of 1.0 in n 4.521 * [taylor]: Taking taylor expansion of (log PI) in n 4.521 * [taylor]: Taking taylor expansion of PI in n 4.522 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.522 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.522 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.522 * [taylor]: Taking taylor expansion of 1.0 in n 4.522 * [taylor]: Taking taylor expansion of (log n) in n 4.522 * [taylor]: Taking taylor expansion of n in n 4.523 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.523 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.523 * [taylor]: Taking taylor expansion of 1.0 in n 4.523 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.523 * [taylor]: Taking taylor expansion of 2.0 in n 4.566 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 4.566 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.566 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.566 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.566 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.566 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.567 * [taylor]: Taking taylor expansion of 0.5 in n 4.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.567 * [taylor]: Taking taylor expansion of 1.0 in n 4.567 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.567 * [taylor]: Taking taylor expansion of k in n 4.567 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.567 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.567 * [taylor]: Taking taylor expansion of n in n 4.568 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 4.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 4.568 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.568 * [taylor]: Taking taylor expansion of 0.5 in n 4.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.568 * [taylor]: Taking taylor expansion of 1.0 in n 4.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.568 * [taylor]: Taking taylor expansion of k in n 4.568 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.568 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.568 * [taylor]: Taking taylor expansion of 2.0 in n 4.568 * [taylor]: Taking taylor expansion of PI in n 4.570 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.570 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.570 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.570 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.570 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.570 * [taylor]: Taking taylor expansion of 0.5 in k 4.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.570 * [taylor]: Taking taylor expansion of 1.0 in k 4.570 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.570 * [taylor]: Taking taylor expansion of k in k 4.571 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.571 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.571 * [taylor]: Taking taylor expansion of n in k 4.572 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.572 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.572 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.572 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.572 * [taylor]: Taking taylor expansion of 0.5 in k 4.572 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.572 * [taylor]: Taking taylor expansion of 1.0 in k 4.572 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.572 * [taylor]: Taking taylor expansion of k in k 4.572 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.572 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.572 * [taylor]: Taking taylor expansion of 2.0 in k 4.572 * [taylor]: Taking taylor expansion of PI in k 4.575 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.575 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.575 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.575 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.575 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.575 * [taylor]: Taking taylor expansion of 0.5 in k 4.575 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.575 * [taylor]: Taking taylor expansion of 1.0 in k 4.576 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.576 * [taylor]: Taking taylor expansion of k in k 4.576 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.576 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.576 * [taylor]: Taking taylor expansion of n in k 4.577 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.577 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.577 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.577 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.577 * [taylor]: Taking taylor expansion of 0.5 in k 4.577 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.577 * [taylor]: Taking taylor expansion of 1.0 in k 4.577 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.577 * [taylor]: Taking taylor expansion of k in k 4.577 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.577 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.577 * [taylor]: Taking taylor expansion of 2.0 in k 4.577 * [taylor]: Taking taylor expansion of PI in k 4.582 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 4.582 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.582 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.582 * [taylor]: Taking taylor expansion of 0.5 in n 4.582 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.582 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.582 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.582 * [taylor]: Taking taylor expansion of n in n 4.582 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.582 * [taylor]: Taking taylor expansion of 1.0 in n 4.582 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.582 * [taylor]: Taking taylor expansion of k in n 4.583 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.583 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.583 * [taylor]: Taking taylor expansion of 0.5 in n 4.583 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.583 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.583 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.583 * [taylor]: Taking taylor expansion of 2.0 in n 4.583 * [taylor]: Taking taylor expansion of PI in n 4.584 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.584 * [taylor]: Taking taylor expansion of 1.0 in n 4.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.584 * [taylor]: Taking taylor expansion of k in n 4.588 * [taylor]: Taking taylor expansion of 0 in n 4.598 * [taylor]: Taking taylor expansion of 0 in n 4.610 * [taylor]: Taking taylor expansion of 0 in n 4.612 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 4.612 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.612 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.612 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.612 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.612 * [taylor]: Taking taylor expansion of 0.5 in n 4.612 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.612 * [taylor]: Taking taylor expansion of k in n 4.612 * [taylor]: Taking taylor expansion of 1.0 in n 4.612 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.612 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.612 * [taylor]: Taking taylor expansion of -1 in n 4.612 * [taylor]: Taking taylor expansion of n in n 4.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 4.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 4.614 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.614 * [taylor]: Taking taylor expansion of 0.5 in n 4.614 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.614 * [taylor]: Taking taylor expansion of k in n 4.614 * [taylor]: Taking taylor expansion of 1.0 in n 4.614 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.614 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.614 * [taylor]: Taking taylor expansion of 2.0 in n 4.614 * [taylor]: Taking taylor expansion of PI in n 4.616 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.616 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.616 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.616 * [taylor]: Taking taylor expansion of 0.5 in k 4.616 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.617 * [taylor]: Taking taylor expansion of k in k 4.617 * [taylor]: Taking taylor expansion of 1.0 in k 4.617 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.617 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.617 * [taylor]: Taking taylor expansion of -1 in k 4.617 * [taylor]: Taking taylor expansion of n in k 4.618 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.618 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.618 * [taylor]: Taking taylor expansion of 0.5 in k 4.618 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.618 * [taylor]: Taking taylor expansion of k in k 4.618 * [taylor]: Taking taylor expansion of 1.0 in k 4.618 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.618 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.618 * [taylor]: Taking taylor expansion of 2.0 in k 4.618 * [taylor]: Taking taylor expansion of PI in k 4.621 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.621 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.621 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.621 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.621 * [taylor]: Taking taylor expansion of 0.5 in k 4.621 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.621 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.621 * [taylor]: Taking taylor expansion of k in k 4.621 * [taylor]: Taking taylor expansion of 1.0 in k 4.621 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.622 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.622 * [taylor]: Taking taylor expansion of -1 in k 4.622 * [taylor]: Taking taylor expansion of n in k 4.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.622 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.622 * [taylor]: Taking taylor expansion of 0.5 in k 4.622 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.622 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.622 * [taylor]: Taking taylor expansion of k in k 4.623 * [taylor]: Taking taylor expansion of 1.0 in k 4.623 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.623 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.623 * [taylor]: Taking taylor expansion of 2.0 in k 4.623 * [taylor]: Taking taylor expansion of PI in k 4.632 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 4.632 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.632 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.632 * [taylor]: Taking taylor expansion of 0.5 in n 4.632 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.632 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.632 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.632 * [taylor]: Taking taylor expansion of k in n 4.632 * [taylor]: Taking taylor expansion of 1.0 in n 4.632 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.632 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.632 * [taylor]: Taking taylor expansion of -1 in n 4.632 * [taylor]: Taking taylor expansion of n in n 4.634 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.634 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.634 * [taylor]: Taking taylor expansion of 0.5 in n 4.634 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.634 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.635 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.635 * [taylor]: Taking taylor expansion of 2.0 in n 4.635 * [taylor]: Taking taylor expansion of PI in n 4.635 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.635 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.636 * [taylor]: Taking taylor expansion of k in n 4.636 * [taylor]: Taking taylor expansion of 1.0 in n 4.641 * [taylor]: Taking taylor expansion of 0 in n 4.651 * [taylor]: Taking taylor expansion of 0 in n 4.664 * [taylor]: Taking taylor expansion of 0 in n 4.665 * * * [progress]: simplifying candidates 4.667 * [simplify]: Simplifying using # : (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow 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PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 4.677 * * [simplify]: iteration 0 : 316 enodes (cost 2486 ) 4.754 * * [simplify]: iteration 1 : 757 enodes (cost 2260 ) 4.963 * * [simplify]: iteration 2 : 2323 enodes (cost 2148 ) 5.444 * * [simplify]: iteration done : 5000 enodes (cost 2142 ) 5.445 * [simplify]: Simplified to: (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) 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(sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* (* (- 1.0 k) (- (log n))) -0.5)) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (+ (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))))) (- (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)) (* (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* k (log n)) (* k (log (* 2.0 PI))))) 0.5))) (exp (- (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* (* -0.5 (- 1.0 k)) (log n)))) (exp (* (* 0.5 (- 1.0 k)) (+ (- (log -1) (log (/ -1 n))) (log (* 2.0 PI))))) 5.446 * * * [progress]: adding candidates to table 5.885 * * [progress]: iteration 3 / 4 5.886 * * * [progress]: picking best candidate 5.904 * * * * [pick]: Picked # 5.905 * * * [progress]: localizing error 5.924 * * * [progress]: generating rewritten candidates 5.924 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.928 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.933 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.936 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.958 * * * [progress]: generating series expansions 5.958 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.958 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 5.958 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.958 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.958 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.958 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.958 * [taylor]: Taking taylor expansion of 0.5 in k 5.958 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.958 * [taylor]: Taking taylor expansion of 1.0 in k 5.958 * [taylor]: Taking taylor expansion of k in k 5.958 * [taylor]: Taking taylor expansion of (log n) in k 5.958 * [taylor]: Taking taylor expansion of n in k 5.959 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.959 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.959 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.959 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.959 * [taylor]: Taking taylor expansion of 0.5 in n 5.959 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.959 * [taylor]: Taking taylor expansion of 1.0 in n 5.959 * [taylor]: Taking taylor expansion of k in n 5.959 * [taylor]: Taking taylor expansion of (log n) in n 5.959 * [taylor]: Taking taylor expansion of n in n 5.960 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.960 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.960 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.960 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.960 * [taylor]: Taking taylor expansion of 0.5 in n 5.960 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.960 * [taylor]: Taking taylor expansion of 1.0 in n 5.960 * [taylor]: Taking taylor expansion of k in n 5.960 * [taylor]: Taking taylor expansion of (log n) in n 5.960 * [taylor]: Taking taylor expansion of n in n 5.961 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 5.961 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 5.961 * [taylor]: Taking taylor expansion of 0.5 in k 5.961 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 5.961 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.961 * [taylor]: Taking taylor expansion of 1.0 in k 5.961 * [taylor]: Taking taylor expansion of k in k 5.961 * [taylor]: Taking taylor expansion of (log n) in k 5.961 * [taylor]: Taking taylor expansion of n in k 5.964 * [taylor]: Taking taylor expansion of 0 in k 5.970 * [taylor]: Taking taylor expansion of 0 in k 5.973 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.973 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.973 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.973 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.973 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.973 * [taylor]: Taking taylor expansion of 0.5 in k 5.973 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.974 * [taylor]: Taking taylor expansion of 1.0 in k 5.974 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.974 * [taylor]: Taking taylor expansion of k in k 5.974 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.974 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.974 * [taylor]: Taking taylor expansion of n in k 5.975 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.975 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.975 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.975 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.975 * [taylor]: Taking taylor expansion of 0.5 in n 5.975 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.975 * [taylor]: Taking taylor expansion of 1.0 in n 5.975 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.975 * [taylor]: Taking taylor expansion of k in n 5.975 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.975 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.975 * [taylor]: Taking taylor expansion of n in n 5.976 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.976 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.976 * [taylor]: Taking taylor expansion of 0.5 in n 5.976 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.976 * [taylor]: Taking taylor expansion of 1.0 in n 5.976 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.976 * [taylor]: Taking taylor expansion of k in n 5.976 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.976 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.976 * [taylor]: Taking taylor expansion of n in n 5.977 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 5.977 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 5.977 * [taylor]: Taking taylor expansion of -0.5 in k 5.977 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 5.977 * [taylor]: Taking taylor expansion of (log n) in k 5.977 * [taylor]: Taking taylor expansion of n in k 5.977 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.977 * [taylor]: Taking taylor expansion of 1.0 in k 5.977 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.977 * [taylor]: Taking taylor expansion of k in k 5.981 * [taylor]: Taking taylor expansion of 0 in k 5.985 * [taylor]: Taking taylor expansion of 0 in k 5.991 * [taylor]: Taking taylor expansion of 0 in k 5.992 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.992 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.992 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.992 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.992 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.992 * [taylor]: Taking taylor expansion of 0.5 in k 5.992 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.992 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.992 * [taylor]: Taking taylor expansion of k in k 5.992 * [taylor]: Taking taylor expansion of 1.0 in k 5.992 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.992 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.992 * [taylor]: Taking taylor expansion of -1 in k 5.992 * [taylor]: Taking taylor expansion of n in k 5.993 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.993 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.993 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.993 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.993 * [taylor]: Taking taylor expansion of 0.5 in n 5.993 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.993 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.993 * [taylor]: Taking taylor expansion of k in n 5.993 * [taylor]: Taking taylor expansion of 1.0 in n 5.993 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.993 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.993 * [taylor]: Taking taylor expansion of -1 in n 5.993 * [taylor]: Taking taylor expansion of n in n 5.995 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.995 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.995 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.995 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.995 * [taylor]: Taking taylor expansion of 0.5 in n 5.995 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.995 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.995 * [taylor]: Taking taylor expansion of k in n 5.995 * [taylor]: Taking taylor expansion of 1.0 in n 5.995 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.995 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.995 * [taylor]: Taking taylor expansion of -1 in n 5.995 * [taylor]: Taking taylor expansion of n in n 5.997 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 5.997 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 5.997 * [taylor]: Taking taylor expansion of 0.5 in k 5.997 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 5.997 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 5.997 * [taylor]: Taking taylor expansion of (log -1) in k 5.997 * [taylor]: Taking taylor expansion of -1 in k 5.997 * [taylor]: Taking taylor expansion of (log n) in k 5.997 * [taylor]: Taking taylor expansion of n in k 5.997 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.997 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.997 * [taylor]: Taking taylor expansion of k in k 5.998 * [taylor]: Taking taylor expansion of 1.0 in k 6.008 * [taylor]: Taking taylor expansion of 0 in k 6.013 * [taylor]: Taking taylor expansion of 0 in k 6.019 * [taylor]: Taking taylor expansion of 0 in k 6.020 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 6.020 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 6.020 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.020 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.020 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.020 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.020 * [taylor]: Taking taylor expansion of 0.5 in k 6.021 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.021 * [taylor]: Taking taylor expansion of 1.0 in k 6.021 * [taylor]: Taking taylor expansion of k in k 6.021 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.021 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.021 * [taylor]: Taking taylor expansion of 2.0 in k 6.021 * [taylor]: Taking taylor expansion of PI in k 6.025 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.025 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.025 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.025 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.025 * [taylor]: Taking taylor expansion of 0.5 in k 6.025 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.025 * [taylor]: Taking taylor expansion of 1.0 in k 6.025 * [taylor]: Taking taylor expansion of k in k 6.025 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.025 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.025 * [taylor]: Taking taylor expansion of 2.0 in k 6.025 * [taylor]: Taking taylor expansion of PI in k 6.071 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 6.071 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.071 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.071 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.071 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.071 * [taylor]: Taking taylor expansion of 0.5 in k 6.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.071 * [taylor]: Taking taylor expansion of 1.0 in k 6.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.071 * [taylor]: Taking taylor expansion of k in k 6.071 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.071 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.071 * [taylor]: Taking taylor expansion of 2.0 in k 6.071 * [taylor]: Taking taylor expansion of PI in k 6.074 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.074 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.074 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.074 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.074 * [taylor]: Taking taylor expansion of 0.5 in k 6.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.075 * [taylor]: Taking taylor expansion of 1.0 in k 6.075 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.075 * [taylor]: Taking taylor expansion of k in k 6.075 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.075 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.075 * [taylor]: Taking taylor expansion of 2.0 in k 6.075 * [taylor]: Taking taylor expansion of PI in k 6.080 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 6.080 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.080 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.080 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.080 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.080 * [taylor]: Taking taylor expansion of 0.5 in k 6.080 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.080 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.080 * [taylor]: Taking taylor expansion of k in k 6.080 * [taylor]: Taking taylor expansion of 1.0 in k 6.080 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.081 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.081 * [taylor]: Taking taylor expansion of 2.0 in k 6.081 * [taylor]: Taking taylor expansion of PI in k 6.089 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.090 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.090 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.090 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.090 * [taylor]: Taking taylor expansion of 0.5 in k 6.090 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.090 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.090 * [taylor]: Taking taylor expansion of k in k 6.090 * [taylor]: Taking taylor expansion of 1.0 in k 6.090 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.090 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.090 * [taylor]: Taking taylor expansion of 2.0 in k 6.090 * [taylor]: Taking taylor expansion of PI in k 6.095 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 6.095 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.095 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.095 * [taylor]: Taking taylor expansion of 1.0 in k 6.095 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.095 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.095 * [taylor]: Taking taylor expansion of k in k 6.096 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.096 * [taylor]: Taking taylor expansion of 1.0 in k 6.096 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.096 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.096 * [taylor]: Taking taylor expansion of k in k 6.107 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.107 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.107 * [taylor]: Taking taylor expansion of 1.0 in k 6.107 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.107 * [taylor]: Taking taylor expansion of k in k 6.108 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.108 * [taylor]: Taking taylor expansion of 1.0 in k 6.108 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.108 * [taylor]: Taking taylor expansion of k in k 6.119 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.119 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.119 * [taylor]: Taking taylor expansion of 1.0 in k 6.119 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.119 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.119 * [taylor]: Taking taylor expansion of -1 in k 6.119 * [taylor]: Taking taylor expansion of k in k 6.120 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.120 * [taylor]: Taking taylor expansion of 1.0 in k 6.120 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.120 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.120 * [taylor]: Taking taylor expansion of -1 in k 6.120 * [taylor]: Taking taylor expansion of k in k 6.132 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 6.132 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 6.132 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 6.132 * [taylor]: Taking taylor expansion of 1.0 in k 6.132 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 6.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.132 * [taylor]: Taking taylor expansion of k in k 6.133 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.133 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.133 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.133 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.133 * [taylor]: Taking taylor expansion of 0.5 in k 6.133 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.134 * [taylor]: Taking taylor expansion of 1.0 in k 6.134 * [taylor]: Taking taylor expansion of k in k 6.134 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.134 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.134 * [taylor]: Taking taylor expansion of 2.0 in k 6.134 * [taylor]: Taking taylor expansion of PI in k 6.138 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 6.138 * [taylor]: Taking taylor expansion of 1.0 in k 6.138 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 6.138 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.138 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.138 * [taylor]: Taking taylor expansion of k in k 6.139 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.139 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.139 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.139 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.139 * [taylor]: Taking taylor expansion of 0.5 in k 6.139 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.139 * [taylor]: Taking taylor expansion of 1.0 in k 6.139 * [taylor]: Taking taylor expansion of k in k 6.139 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.139 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.139 * [taylor]: Taking taylor expansion of 2.0 in k 6.139 * [taylor]: Taking taylor expansion of PI in k 6.349 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 6.349 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.349 * [taylor]: Taking taylor expansion of 1.0 in k 6.349 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.349 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.349 * [taylor]: Taking taylor expansion of k in k 6.350 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.350 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.350 * [taylor]: Taking taylor expansion of 0.5 in k 6.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.350 * [taylor]: Taking taylor expansion of 1.0 in k 6.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.350 * [taylor]: Taking taylor expansion of k in k 6.351 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.351 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.351 * [taylor]: Taking taylor expansion of 2.0 in k 6.351 * [taylor]: Taking taylor expansion of PI in k 6.354 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.354 * [taylor]: Taking taylor expansion of 1.0 in k 6.354 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.354 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.354 * [taylor]: Taking taylor expansion of k in k 6.355 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.355 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.355 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.355 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.355 * [taylor]: Taking taylor expansion of 0.5 in k 6.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.355 * [taylor]: Taking taylor expansion of 1.0 in k 6.355 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.355 * [taylor]: Taking taylor expansion of k in k 6.356 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.356 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.356 * [taylor]: Taking taylor expansion of 2.0 in k 6.356 * [taylor]: Taking taylor expansion of PI in k 6.378 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 6.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 6.378 * [taylor]: Taking taylor expansion of 1.0 in k 6.378 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.378 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.378 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.378 * [taylor]: Taking taylor expansion of 0.5 in k 6.378 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.378 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.378 * [taylor]: Taking taylor expansion of k in k 6.378 * [taylor]: Taking taylor expansion of 1.0 in k 6.378 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.378 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.378 * [taylor]: Taking taylor expansion of 2.0 in k 6.378 * [taylor]: Taking taylor expansion of PI in k 6.381 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.381 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.381 * [taylor]: Taking taylor expansion of -1 in k 6.381 * [taylor]: Taking taylor expansion of k in k 6.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 6.383 * [taylor]: Taking taylor expansion of 1.0 in k 6.383 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.383 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.383 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.383 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.383 * [taylor]: Taking taylor expansion of 0.5 in k 6.383 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.383 * [taylor]: Taking taylor expansion of k in k 6.384 * [taylor]: Taking taylor expansion of 1.0 in k 6.384 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.384 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.384 * [taylor]: Taking taylor expansion of 2.0 in k 6.384 * [taylor]: Taking taylor expansion of PI in k 6.387 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.387 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.387 * [taylor]: Taking taylor expansion of -1 in k 6.387 * [taylor]: Taking taylor expansion of k in k 6.412 * * * [progress]: simplifying candidates 6.415 * [simplify]: Simplifying using # : (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt 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2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (- (log n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (- (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0)))) (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2)))) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2)))) 7.497 * * * [progress]: adding candidates to table 7.964 * * [progress]: iteration 4 / 4 7.964 * * * [progress]: picking best candidate 7.985 * * * * [pick]: Picked # 7.985 * * * [progress]: localizing error 8.000 * * * [progress]: generating rewritten candidates 8.000 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.010 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.026 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.030 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.069 * * * [progress]: generating series expansions 8.069 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.069 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.069 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.069 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.070 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.070 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.070 * [taylor]: Taking taylor expansion of 0.5 in k 8.070 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.070 * [taylor]: Taking taylor expansion of 1.0 in k 8.070 * [taylor]: Taking taylor expansion of k in k 8.070 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.070 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.070 * [taylor]: Taking taylor expansion of 2.0 in k 8.070 * [taylor]: Taking taylor expansion of (* n PI) in k 8.070 * [taylor]: Taking taylor expansion of n in k 8.070 * [taylor]: Taking taylor expansion of PI in k 8.071 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.071 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.071 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.071 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.071 * [taylor]: Taking taylor expansion of 0.5 in n 8.071 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.071 * [taylor]: Taking taylor expansion of 1.0 in n 8.071 * [taylor]: Taking taylor expansion of k in n 8.071 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.071 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.071 * [taylor]: Taking taylor expansion of 2.0 in n 8.071 * [taylor]: Taking taylor expansion of (* n PI) in n 8.071 * [taylor]: Taking taylor expansion of n in n 8.071 * [taylor]: Taking taylor expansion of PI in n 8.076 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.076 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.076 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.076 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.076 * [taylor]: Taking taylor expansion of 0.5 in n 8.076 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.076 * [taylor]: Taking taylor expansion of 1.0 in n 8.076 * [taylor]: Taking taylor expansion of k in n 8.076 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.076 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.076 * [taylor]: Taking taylor expansion of 2.0 in n 8.076 * [taylor]: Taking taylor expansion of (* n PI) in n 8.076 * [taylor]: Taking taylor expansion of n in n 8.077 * [taylor]: Taking taylor expansion of PI in n 8.082 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.082 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.082 * [taylor]: Taking taylor expansion of 0.5 in k 8.082 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.082 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.082 * [taylor]: Taking taylor expansion of 1.0 in k 8.082 * [taylor]: Taking taylor expansion of k in k 8.082 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.082 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.082 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.082 * [taylor]: Taking taylor expansion of 2.0 in k 8.082 * [taylor]: Taking taylor expansion of PI in k 8.083 * [taylor]: Taking taylor expansion of (log n) in k 8.083 * [taylor]: Taking taylor expansion of n in k 8.092 * [taylor]: Taking taylor expansion of 0 in k 8.114 * [taylor]: Taking taylor expansion of 0 in k 8.132 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.132 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.132 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.132 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.132 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.132 * [taylor]: Taking taylor expansion of 0.5 in k 8.132 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.132 * [taylor]: Taking taylor expansion of 1.0 in k 8.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.132 * [taylor]: Taking taylor expansion of k in k 8.132 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.132 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.132 * [taylor]: Taking taylor expansion of 2.0 in k 8.133 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.133 * [taylor]: Taking taylor expansion of PI in k 8.133 * [taylor]: Taking taylor expansion of n in k 8.134 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.134 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.134 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.134 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.134 * [taylor]: Taking taylor expansion of 0.5 in n 8.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.134 * [taylor]: Taking taylor expansion of 1.0 in n 8.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.134 * [taylor]: Taking taylor expansion of k in n 8.134 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.134 * [taylor]: Taking taylor expansion of 2.0 in n 8.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.134 * [taylor]: Taking taylor expansion of PI in n 8.134 * [taylor]: Taking taylor expansion of n in n 8.137 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.137 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.137 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.137 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.137 * [taylor]: Taking taylor expansion of 0.5 in n 8.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.137 * [taylor]: Taking taylor expansion of 1.0 in n 8.137 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.138 * [taylor]: Taking taylor expansion of k in n 8.138 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.138 * [taylor]: Taking taylor expansion of 2.0 in n 8.138 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.138 * [taylor]: Taking taylor expansion of PI in n 8.138 * [taylor]: Taking taylor expansion of n in n 8.141 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.141 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.141 * [taylor]: Taking taylor expansion of 0.5 in k 8.141 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.141 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.141 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.141 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.141 * [taylor]: Taking taylor expansion of 2.0 in k 8.141 * [taylor]: Taking taylor expansion of PI in k 8.142 * [taylor]: Taking taylor expansion of (log n) in k 8.142 * [taylor]: Taking taylor expansion of n in k 8.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.142 * [taylor]: Taking taylor expansion of 1.0 in k 8.142 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.142 * [taylor]: Taking taylor expansion of k in k 8.152 * [taylor]: Taking taylor expansion of 0 in k 8.159 * [taylor]: Taking taylor expansion of 0 in k 8.168 * [taylor]: Taking taylor expansion of 0 in k 8.169 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.169 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.169 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.169 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.169 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.169 * [taylor]: Taking taylor expansion of 0.5 in k 8.169 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.169 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.169 * [taylor]: Taking taylor expansion of k in k 8.170 * [taylor]: Taking taylor expansion of 1.0 in k 8.170 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.170 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.170 * [taylor]: Taking taylor expansion of -2.0 in k 8.170 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.170 * [taylor]: Taking taylor expansion of PI in k 8.170 * [taylor]: Taking taylor expansion of n in k 8.170 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.171 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.171 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.171 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.171 * [taylor]: Taking taylor expansion of 0.5 in n 8.171 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.171 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.171 * [taylor]: Taking taylor expansion of k in n 8.171 * [taylor]: Taking taylor expansion of 1.0 in n 8.171 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.171 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.171 * [taylor]: Taking taylor expansion of -2.0 in n 8.171 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.171 * [taylor]: Taking taylor expansion of PI in n 8.171 * [taylor]: Taking taylor expansion of n in n 8.175 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.175 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.175 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.175 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.175 * [taylor]: Taking taylor expansion of 0.5 in n 8.175 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.175 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.175 * [taylor]: Taking taylor expansion of k in n 8.175 * [taylor]: Taking taylor expansion of 1.0 in n 8.175 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.175 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.175 * [taylor]: Taking taylor expansion of -2.0 in n 8.175 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.175 * [taylor]: Taking taylor expansion of PI in n 8.175 * [taylor]: Taking taylor expansion of n in n 8.179 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.179 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.179 * [taylor]: Taking taylor expansion of 0.5 in k 8.179 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.179 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.179 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.179 * [taylor]: Taking taylor expansion of k in k 8.179 * [taylor]: Taking taylor expansion of 1.0 in k 8.179 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.179 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.179 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.179 * [taylor]: Taking taylor expansion of -2.0 in k 8.179 * [taylor]: Taking taylor expansion of PI in k 8.180 * [taylor]: Taking taylor expansion of (log n) in k 8.180 * [taylor]: Taking taylor expansion of n in k 8.189 * [taylor]: Taking taylor expansion of 0 in k 8.199 * [taylor]: Taking taylor expansion of 0 in k 8.208 * [taylor]: Taking taylor expansion of 0 in k 8.209 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.209 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.209 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.209 * [taylor]: Taking taylor expansion of 1.0 in k 8.209 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.209 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.209 * [taylor]: Taking taylor expansion of k in k 8.211 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.211 * [taylor]: Taking taylor expansion of 1.0 in k 8.211 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.211 * [taylor]: Taking taylor expansion of k in k 8.222 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.222 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.222 * [taylor]: Taking taylor expansion of 1.0 in k 8.222 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.222 * [taylor]: Taking taylor expansion of k in k 8.223 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.223 * [taylor]: Taking taylor expansion of 1.0 in k 8.223 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.223 * [taylor]: Taking taylor expansion of k in k 8.234 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.234 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.234 * [taylor]: Taking taylor expansion of 1.0 in k 8.234 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.234 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.234 * [taylor]: Taking taylor expansion of -1 in k 8.234 * [taylor]: Taking taylor expansion of k in k 8.235 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.236 * [taylor]: Taking taylor expansion of 1.0 in k 8.236 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.236 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.236 * [taylor]: Taking taylor expansion of -1 in k 8.236 * [taylor]: Taking taylor expansion of k in k 8.247 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.247 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 8.247 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 8.247 * [taylor]: Taking taylor expansion of 1.0 in k 8.247 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.247 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.247 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.247 * [taylor]: Taking taylor expansion of 1/4 in k 8.247 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.247 * [taylor]: Taking taylor expansion of k in k 8.248 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 8.248 * [taylor]: Taking taylor expansion of 1.0 in k 8.248 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.248 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.248 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.248 * [taylor]: Taking taylor expansion of 1/4 in k 8.248 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.248 * [taylor]: Taking taylor expansion of k in k 8.307 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 8.307 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 8.307 * [taylor]: Taking taylor expansion of 1.0 in k 8.307 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.307 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.307 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.307 * [taylor]: Taking taylor expansion of 1/4 in k 8.307 * [taylor]: Taking taylor expansion of (log k) in k 8.307 * [taylor]: Taking taylor expansion of k in k 8.308 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 8.308 * [taylor]: Taking taylor expansion of 1.0 in k 8.308 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.308 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.308 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.308 * [taylor]: Taking taylor expansion of 1/4 in k 8.308 * [taylor]: Taking taylor expansion of (log k) in k 8.308 * [taylor]: Taking taylor expansion of k in k 8.364 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 8.364 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.364 * [taylor]: Taking taylor expansion of 1.0 in k 8.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.364 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.364 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.364 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.364 * [taylor]: Taking taylor expansion of -1 in k 8.364 * [taylor]: Taking taylor expansion of k in k 8.370 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.370 * [taylor]: Taking taylor expansion of 1.0 in k 8.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.370 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.370 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.370 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.370 * [taylor]: Taking taylor expansion of -1 in k 8.370 * [taylor]: Taking taylor expansion of k in k 8.406 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.406 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.406 * [taylor]: Taking taylor expansion of 2.0 in n 8.406 * [taylor]: Taking taylor expansion of (* n PI) in n 8.406 * [taylor]: Taking taylor expansion of n in n 8.406 * [taylor]: Taking taylor expansion of PI in n 8.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.406 * [taylor]: Taking taylor expansion of 2.0 in n 8.406 * [taylor]: Taking taylor expansion of (* n PI) in n 8.406 * [taylor]: Taking taylor expansion of n in n 8.406 * [taylor]: Taking taylor expansion of PI in n 8.418 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.418 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.418 * [taylor]: Taking taylor expansion of 2.0 in n 8.418 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.418 * [taylor]: Taking taylor expansion of PI in n 8.418 * [taylor]: Taking taylor expansion of n in n 8.418 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.418 * [taylor]: Taking taylor expansion of 2.0 in n 8.418 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.418 * [taylor]: Taking taylor expansion of PI in n 8.418 * [taylor]: Taking taylor expansion of n in n 8.430 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.430 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.430 * [taylor]: Taking taylor expansion of -2.0 in n 8.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.430 * [taylor]: Taking taylor expansion of PI in n 8.430 * [taylor]: Taking taylor expansion of n in n 8.431 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.431 * [taylor]: Taking taylor expansion of -2.0 in n 8.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.431 * [taylor]: Taking taylor expansion of PI in n 8.431 * [taylor]: Taking taylor expansion of n in n 8.439 * * * [progress]: simplifying candidates 8.447 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) 1) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 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k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt 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k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 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PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 1.0 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(/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt 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(* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.5)) (* (pow (log n) 2) (pow (* 2.0 (* n PI)) 0.5)))) (- (+ (pow (* 2.0 (* n PI)) 0.5) (* (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (log n) (pow (* 2.0 (* n PI)) 0.5)))) (* 0.5 (* k (+ (* (pow (* 2.0 (* n PI)) 0.5) (log (* 2.0 PI))) (* (log n) (pow (* 2.0 (* n PI)) 0.5))))))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (+ (- (* 1.0 (sqrt +nan.0)) (/ +nan.0 (* (sqrt +nan.0) (pow k 2)))) (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 9.649 * * * [progress]: adding candidates to table 10.330 * [progress]: [Phase 3 of 3] Extracting. 10.330 * * [regime]: Finding splitpoints for: (# # # # # # # #) 10.332 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 10.332 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 10.364 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # #) 10.399 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 10.430 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 10.462 * * * [regime]: Found split indices: #